Function notation, domain and range Problem set B Answers

1. (a) 7
2. (b) 25
3. (c) \(x=0\) or \(x=3.5\)

1. (a) \(x\neq-2\)
2. (b) \(x\geq4\)
3. (c) \(x>-4\)

1. (a) \(y\geq-5\)
2. (b) \(y\leq10\)
3. (c) \(y>-2\)

Domain \(-1\leq x<5\)\; range \(-4\leq y\leq5\)

1. (a) £35.50
2. (b) 30
3. (c) £3.50 is the starting charge: the fare for a journey of 0 km.

Domain \(0\leq t\leq5\)\; range \(0\leq h\leq125\)

Domain \(0<x<40\)\; range \(0<A\leq400\)

Domain \(x\geq-5\), \(x\neq2\)\; range \(y\neq0\)

\(-3\leq y\leq13\)